Problem 6
FIGURE EX17.6 shows a standing wave oscillating at 100 Hz on a string. What is the wave speed?
Problem 7a
FIGURE EX17.7 shows a standing wave on a string that is oscillating at 100 Hz. How many antinodes will there be if the frequency is increased to 200 Hz?
Problem 8a
What are the three longest wavelengths for standing waves on a 60 cm long string that is fixed at both ends?
Problem 9b
Standing waves on a 1.0-m-long string that is fixed at both ends are seen at successive frequencies of 36 Hz and 48 Hz. Draw the standing-wave pattern when the string oscillates at 48 Hz.
Problem 10
The two highest-pitch strings on a violin are tuned to 440 Hz (the A string) and 659 Hz (the E string). What is the ratio of the mass of the A string to that of the E string? Violin strings are all the same length and under essentially the same tension.
Problem 13
A carbon dioxide laser is an infrared laser. A CO2 laser with a cavity length of 53.00 cm oscillates in the m=100,000 mode. What are the wavelength and frequency of the laser beam?
- The fundamental frequency of an open-open tube is 1500 Hz when the tube is filled with 0°C helium. What is its frequency when filled with 0°C air?
Problem 17
Problem 17a
The lowest note on a grand piano has a frequency of 27.5 Hz. The entire string is 2.00 m long and has a mass of 400 g. The vibrating section of the string is 1.90 m long. What tension is needed to tune this string properly?
Problem 19
A bass clarinet can be modeled as a 120-cm-long open-closed tube. A bass clarinet player starts playing in a 20° C room, but soon the air inside the clarinet warms to where the speed of sound is 352 m/s . Does the fundamental frequency increase or decrease? By how much?
Ch 17: Superposition